Q: What are the factor combinations of the number 113,337,107?

 A:
Positive:   1 x 11333710713 x 87182391049 x 1080438311 x 13637
Negative: -1 x -113337107-13 x -8718239-1049 x -108043-8311 x -13637


How do I find the factor combinations of the number 113,337,107?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 113,337,107, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 113,337,107
-1 -113,337,107

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 113,337,107.

Example:
1 x 113,337,107 = 113,337,107
and
-1 x -113,337,107 = 113,337,107
Notice both answers equal 113,337,107

With that explanation out of the way, let's continue. Next, we take the number 113,337,107 and divide it by 2:

113,337,107 ÷ 2 = 56,668,553.5

If the quotient is a whole number, then 2 and 56,668,553.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 113,337,107
-1 -113,337,107

Now, we try dividing 113,337,107 by 3:

113,337,107 ÷ 3 = 37,779,035.6667

If the quotient is a whole number, then 3 and 37,779,035.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 113,337,107
-1 -113,337,107

Let's try dividing by 4:

113,337,107 ÷ 4 = 28,334,276.75

If the quotient is a whole number, then 4 and 28,334,276.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 113,337,107
-1 113,337,107
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1131,0498,31113,637108,0438,718,239113,337,107
-1-13-1,049-8,311-13,637-108,043-8,718,239-113,337,107

More Examples

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